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   "source": [
    "# 第一次作业第8题\n",
    "作者：赵飞\n",
    "学号：202018019427078\n",
    "日期：2021-04-18"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'left cash')"
      ]
     },
     "metadata": {},
     "execution_count": 19
    },
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309.573723 167.314909 \r\nL 309.604162 168.303273 \r\nL 309.634601 167.314909 \r\nL 309.72592 166.326545 \r\nL 309.756359 167.314909 \r\nL 309.786798 166.326545 \r\nL 309.878117 163.361455 \r\nL 309.908556 164.349818 \r\nL 309.938996 165.338182 \r\nL 309.969435 164.349818 \r\nL 310.030314 162.373091 \r\nL 310.060753 163.361455 \r\nL 310.121632 165.338182 \r\nL 310.152071 164.349818 \r\nL 310.182511 163.361455 \r\nL 310.21295 164.349818 \r\nL 310.334708 168.303273 \r\nL 310.365147 167.314909 \r\nL 310.486905 165.338182 \r\nL 310.608662 167.314909 \r\nL 310.669541 165.338182 \r\nL 310.699981 166.326545 \r\nL 310.821738 168.303273 \r\nL 310.852178 167.314909 \r\nL 310.882617 168.303273 \r\nL 310.913057 169.291636 \r\nL 310.943496 168.303273 \r\nL 311.095693 165.338182 \r\nL 311.126132 166.326545 \r\nL 311.156572 165.338182 \r\nL 311.24789 162.373091 \r\nL 311.278329 163.361455 \r\nL 311.460966 167.314909 \r\nL 311.613163 162.373091 \r\nL 311.643602 163.361455 \r\nL 311.674042 164.349818 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339.00863 199.930909 \r\nL 339.039069 200.919273 \r\nL 339.160827 202.896 \r\nL 339.221706 200.919273 \r\nL 339.252145 201.907636 \r\nL 339.313024 203.884364 \r\nL 339.343463 202.896 \r\nL 339.404342 200.919273 \r\nL 339.434781 201.907636 \r\nL 339.49566 203.884364 \r\nL 339.5261 202.896 \r\nL 339.647857 198.942545 \r\nL 339.678297 199.930909 \r\nL 339.800054 201.907636 \r\nL 339.921812 199.930909 \r\nL 339.982691 201.907636 \r\nL 340.01313 200.919273 \r\nL 340.04357 199.930909 \r\nL 340.074009 200.919273 \r\nL 340.165327 203.884364 \r\nL 340.195767 202.896 \r\nL 340.226206 201.907636 \r\nL 340.256645 202.896 \r\nL 340.347964 205.861091 \r\nL 340.378403 204.872727 \r\nL 340.56104 200.919273 \r\nL 340.743676 204.872727 \r\nL 340.774115 203.884364 \r\nL 340.804555 204.872727 \r\nL 340.834994 205.861091 \r\nL 340.865434 204.872727 \r\nL 340.956752 203.884364 \r\nL 341.108949 206.849455 \r\nL 341.139388 205.861091 \r\nL 341.169828 206.849455 \r\nL 341.322025 209.814545 \r\nL 341.717737 198.942545 \r\nL 341.778616 200.919273 \r\nL 341.809055 199.930909 \r\nL 341.839495 198.942545 \r\nL 341.869934 199.930909 \r\nL 341.900373 200.919273 \r\nL 341.930813 199.930909 \r\nL 341.961252 198.942545 \r\nL 341.991692 199.930909 \r\nL 342.05257 201.907636 \r\nL 342.08301 200.919273 \r\nL 342.113449 199.930909 \r\nL 342.143889 200.919273 \r\nL 342.174328 201.907636 \r\nL 342.204768 200.919273 \r\nL 342.235207 199.930909 \r\nL 342.265646 200.919273 \r\nL 342.417843 203.884364 \r\nL 342.60048 199.930909 \r\nL 342.630919 200.919273 \r\nL 342.661359 199.930909 \r\nL 342.691798 198.942545 \r\nL 342.722237 199.930909 \r\nL 342.813556 200.919273 \r\nL 342.904874 197.954182 \r\nL 342.935313 198.942545 \r\nL 342.996192 200.919273 \r\nL 343.026632 199.930909 \r\nL 343.11795 196.965818 \r\nL 343.148389 197.954182 \r\nL 343.178829 198.942545 \r\nL 343.209268 197.954182 \r\nL 343.331026 195.977455 \r\nL 343.452783 197.954182 \r\nL 343.513662 195.977455 \r\nL 343.544101 196.965818 \r\nL 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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "# 初始化数组存放每局赌博后赌徒的独资数量\n",
    "cash = np.zeros(10000)\n",
    "cash[0] = 1000\n",
    "# 每局赌博同时抛掷5枚硬币，单枚正面朝上概率是0.5\n",
    "outcome = np.random.binomial(5, 0.5, size=cash.size)\n",
    "for i in range(1, cash.size):\n",
    "    if outcome[i] < 3:\n",
    "        cash[i] = cash[i-1] - 8\n",
    "    else:\n",
    "        cash[i] = cash[i-1] + 8\n",
    "# 绘图显示每局赌博后赌徒剩余赌资\n",
    "# 1. 允许借钱\n",
    "plt.plot(np.arange(cash.size), cash, label=\"can borrow money\")\n",
    "\n",
    "# 2. 不允许借钱\n",
    "cash = np.zeros(10000)\n",
    "cash[0] = 1000\n",
    "for i in range(1, cash.size):\n",
    "    if outcome[i] < 3:\n",
    "        if cash[i-1] < 8:\n",
    "            break\n",
    "        cash[i] = cash[i-1] - 8\n",
    "    else:\n",
    "        cash[i] = cash[i-1] + 8\n",
    "plt.plot(np.arange(cash.size), cash, label=\"cannot borrow money\")\n",
    "plt.legend()\n",
    "plt.xlabel(\"round\")\n",
    "plt.ylabel(\"left cash\")"
   ]
  }
 ]
}